Gradually-varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function (Advances in Geophysical and Environmental Mechanics and Mathematics)

Jan, Chyan-Deng

ISBN 10: 3642352413 / ISBN 13: 9783642352416

Published by Springer, 2014

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Bibliographic Details

• Title: Gradually-varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function (Advances in Geophysical and Environmental Mechanics and Mathematics)
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 3642352413
• ISBN 13: 9783642352416
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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Synopsis

Gradually-varied flow (GVF) is a steady non-uniform flow in an open channel with gradual changes in its water surface elevation. The evaluation of GVF profiles under a specific flow discharge is very important in hydraulic engineering. This book proposes a novel approach to analytically solve the GVF profiles by using the direct integration and Gaussian hypergeometric function. Both normal-depth- and critical-depth-based dimensionless GVF profiles are presented. The novel approach has laid the foundation to compute at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes sandwiched in between them.